Properties

Label 2.12
Level 2
Weight 12
Dimension 0
Nonzero newspaces 0
Newforms 0
Sturm bound 3

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Defining parameters

Level: \( N \) = \( 2 \)
Weight: \( k \) = \( 12 \)
Nonzero newspaces: \( 0 \)
Newforms: \( 0 \)
Sturm bound: \(3\)

Dimensions

The following table gives the dimensions of various subspaces of \(M_{12}(\Gamma_1(2))\).

Total New Old
Modular forms 4 0 4
Cusp forms 2 0 2
Eisenstein series 2 0 2

Decomposition of \(S_{12}^{\mathrm{old}}(\Gamma_1(2))\) into lower level spaces

\( S_{12}^{\mathrm{old}}(\Gamma_1(2)) \cong \) \(S_{12}^{\mathrm{new}}(\Gamma_1(1))\)\(^{\oplus 2}\)